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Finding the Fourth Proportional to 494.50, 682.42 and 298.02

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Solution

The fourth proportional to 494.50, 682.42 and 298.02 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 682.42 = 298.02 : x
  2. Step 2: Convert to fraction form
    494.50/682.42 = 298.02/x
  3. Step 3: Cross multiply
    494.50x = 682.42 × 298.02
  4. Step 4: Simplify right side
    494.50x = 203,374.81
  5. Step 5: Solve for x
    x = 203,374.81/494.50
  6. Step 6: Final answer
    x = 411.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.